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On arithmetically defined hyperbolic manifolds and their Betti numbers
If you have a question about this talk, please contact Teruyoshi Yoshida.
An orientable hyperbolic n-manifold is isometric to the quotient of hyper- bolic n-space H by a discrete torsion free subgroup of the group of orientation-preserving isometries of H. Among these manifolds, the ones originating from arithmetically defined groups form a family of special interest. Due to the underlying connections with number theory and the theory of automorphic forms, there is a fruitful interaction between geometric and arithmetic questions, methods and results. We intend to give an account of recent investigations in this area, in particular, of those pertaining to hyperbolic 3-manifolds and bounds for their Betti numbers.
This talk is part of the Number Theory Seminar series.
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